Actes du colloque - Volume 2 - page 445

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Proceedings of the 18
th
International Conference on Soil Mechanics and Geotechnical Engineering, Paris 2013
5 CONCLUSION
3D FE analysis can provide useful and valuable information in
geotechnical projects even though robustness and mesh
independency are not yet at the same level than in the 2D
programs.
The embedded pile element seems to give imprecise results
when it is used with standard element mesh. Performance is
clearly improved when the mesh is refined around the pile
element. In that case the results are similar with the volume pile.
This feature slightly reduces calculation performance and
handiness of the element.
Figure 7. Embankment supported with the sheet pile walls.
Overall safety factor of the cross section is traditionally
calculated in LEM so that the slip surface goes under the foot of
the sheet pile wall. Often the adequate safety level is not
reached until the wall is extended deep to the hard soil layers.
Wooden piles can be used to improve embankment stability
if the demanded supporting forces are reasonable. Still, several
piles per track meter should be used, as the mobilized lateral
forces are quite small.
In figure 8 the results from the FEM stability analysis with
the strength reduction method is shown. The initial overall
safety factor is F=1.15. With the sheet pile wall, stability is
improved so that the safety factor is F=1.76. However, the
failure surface is not passing under the wall but through the
wall. In this case the wall is modeled as an elasto-plastic plate
element which bending moment capacity is 426 kNm, which
corresponds a section modulus of w=1200cm
3
. In this case the
failure mechanism includes a structural failure of the sheet pile
wall. It was further observed that also the tensile stress of the
anchors was very close to failure at this safety level.
If sheet pile walls are used to improve embankment stability,
FEA can provide valuable additional information on how
sensitive the structural forces are for the soil strength variation
and what is the real nature of the failure. FEA was found to be a
useful tool for these evaluations as the structural behavior is
also accounted for the analysis. It was shown that the bending
moment and the anchor force can be so sensitive for soil
strength variation that the safety margin can be lower than
expected.
6 ACKNOWLEDGEMENTS
The research work presented in this paper is a part of a Life
Cycle Cost Efficient Track research programme (TERA), which
is conducted by Tampere University of Technology. Research
programme is financially supported by the Finnish Transport
Agency. Their support is gratefully acknowledged.
Figure 8. Failure surfaces from the safety analysis. Initial FOS=1.15
without the reinforcement and FOS=1.76 with the sheet pile wall.
7 REFERENCES
In the present design codes the design values of maximum
bending moment and anchor force is defined by applying partial
safety factors for the permanent and variable loads. Factor is
lower for permanent, and higher for variable load. In this case
the characteristic train load was 40.4 kPa and design load 50.9
kPa. This design load was used to calculate the bending moment
M
k
and anchor force F
k
. The design values for bending moment
and anchor force are calculated as follows; M
d
=1.15M
k
=114.3
kNm and F
d
=1.15F
k
=96.3 kN/m.
Cai F. & Ugai K. 2000. Shear Strength Reduction FEM Evaluating
Stability of Slopes with Piles or Anchors. Proceedings of an
International Conference on Geotechnical & Geological
Engineering Melbourne
Dao T.P.T. (2011).Validation of PLAXIS Embedded Piles For Lateral
Loading. Delft University of Technology, Plaxis bv.
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835-840.
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Computers and Geotechnics, Vol.22, No. 2, pp.165-181.
Next, a parallel analysis was conducted, as it can be argued
that the loads are quite well known compared to the strength
parameters of the soil. The strength parameters of the soil layers
were reduced using a partial factor of γ
φ
=1.20. Calculation was
conducted with the characteristic train load 40.4 kPa. In this
analysis maximum bending moment was M=157.5 kNm and the
anchor load T=105.0 kN/m.
Lehtonen, V (2011). Instrumentation and analysis of a railway
embankment failure experiment. 29/2011 Research report of the
Finnish Transport Agency.
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scale Embankment Failure Experiment. Conference proceedings,
NGM2012–Nordic Geotechnical Meeting. Copenhagen, Denmark.
Mansikkamäki, J.; Lehtonen, V; Länsivaara, T. (2011). Advanced
stability analysis of a failure test on an old railway embankment.
Conference proceedings, GeoRail 2011, Paris.
Hence, a relatively small decrease in soil strength caused
higher bending moment and anchor force with the characteristic
loads than the design values are. The overall safety margin for
the bending moment by the means of soil strength was F<1.20.
When the stability of the embankment is poor, a small change in
soil strength parameters builds up a significant amount of
excess pore pressure, which significantly increases the stress in
the supporting structure.
Nian T.-K., Huang R.-Q., Wan S.-S. and Chen G.-Q. May 2012. Three-
dimensional strength-reduction finite element analysis of slopes:
geometric effects. Canadian Geotechnical Journal. Volume 49,
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Plaxis 3D. (2010). Reference and Material Models Manual.
Ranta-Maunus A. 2000.Bending and compression properties of small
diameter round timber. Proceedings of World Conference on
Timber Engineering. Whistler Resort, British Columbia, Canada
July 31 - August 3.
Sensitivity analysis with FE shows that the structural forces
are in this case sensitive for soil strength variation. This kind of
sensitivity analysis would also be beneficial in practical design
cases to ensure a sufficient safety margin.
Thompson M., White D. J. and Schaefer V. R. Dec. 2005. Innovative
Solutions for Slope Stability Reinforcement and Characterization:
Vol. III. Final Report. Iowa State University, Center for
Transportation Research and Education.
Wheeler S.j., Näätänen A., Karstunen M., Lojander M. An anisotropic
elastoplastic model for soft clays. Canadian Geotechnical Journal
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